Partícula não-relativística com spin-1/2 em campos eletromagnético e gravitacional

Abstract

In the present work our starting point is the Pauli equation in a weak gravitational field, obtained as a low energy limit of the Dirac equation in a curved background. This equation is written in terms of an arbitrary gravitational perturbation hµν, about which we did not specify any characteristic. From such a general equation, we obtain the equations of motion for position, momentum and spin in the limit ℏ → 0, with the purpose of investigating the effects of gravity on fermions. After that, in our general equations we specify the form of the gravitational perturbation for some particularly important cases, namely the weak gravitational wave and the Newtonian limit of the Schwarzschild metric, in order to compare our results with the results found in literature that were obtained by other methods.